7242=30.5x^2=4192

Solution for 7242=30.5x^2=4192 equation:

7242=30.5x^2=4192

We move all terms to the left:

7242-(30.5x^2)=0

We get rid of parentheses

-30.5x^2+7242=0

a = -30.5; b = 0; c = +7242;
Δ = b2-4ac
Δ = 02-4·(-30.5)·7242
Δ = 883524
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{883524}=\sqrt{4*220881}=\sqrt{4}*\sqrt{220881}=2\sqrt{220881}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{220881}}{2*-30.5}=\frac{0-2\sqrt{220881}}{-61}
=-\frac{2\sqrt{220881}}{-61}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{220881}}{2*-30.5}=\frac{0+2\sqrt{220881}}{-61}
=\frac{2\sqrt{220881}}{-61}
$